The Emergence of Classicality via Decoherence Described by Lindblad Operators
arXiv:quant-ph/9506019 · doi:10.1103/PhysRevA.53.655
Abstract
Zurek, Habib and Paz [W. H. Zurek, S. Habib and J. P. Paz, Phys. Rev. Lett. {\bf 70} (1993)\ 1187] have characterized the set of states of maximal stability defined as the set of states having minimum entropy increase due to interaction with an environment, and shown that coherent states are maximal for the particular environment model examined. To generalize these results, I consider entropy production within the Lindblad theory of open systems, treating environment effects perturbatively. I characterize the maximally predicitive states which emerge from several forms of effective dynamics, including decoherence from spatially correlated noise. Under a variety of conditions, coherent states emerge as the maximal states.
14 pages, RevTeX 3.0
References in corpus (2)
Cited by in corpus (29)
- Decoherence, einselection, and the quantum origins of the classical
- Quantum Darwinism
- Quantum limit of decoherence: Environment induced superselection of energy eigenstates
- Decoherence, Einselection, and the Existential Interpretation (the Rough Guide)
- Deconstructing Decoherence
- Dissipative spin chain as a non-Hermitian Kitaev ladder
- Collapses and revivals in the interference between two Bose-Einstein condensates formed in small atomic samples
- Decoherence of Quantum Fields: Pointer States and Predictability
- Decoherence, irreversibility and the selection by decoherence of quantum states with definite probabilities
- Decoherence due to three-body loss and its effect on the state of a Bose-Einstein condensate
- Quantum Theory of the Classical: Einselection, Envariance, Quantum Darwinism and Extantons
- Purity and decoherence in the theory of a damped harmonic oscillator
- Decoherence and thermalization dynamics of a quantum oscillator
- Environment-Induced Decoherence and the Transition From Quantum to Classical
- Predictability sieve, pointer states, and the classicality of quantum trajectories
- Generalized Coherent States as Preferred States of Open Quantum Systems
- Atom Lasers, Coherent States, and Coherence:II. Maximally Robust Ensembles of Pure States
- Robust unravelings for resonance fluorescence
- Emergence of singularities from decoherence: Quantum catastrophes
- Effectively classical quantum states for open systems
- Quantum master equations from classical Lagrangians with two stochastic forces
- Temperature effects on a network of dissipative quantum harmonic oscillators: collective damping and diffusion processes
- Quantum speed of evolution in a Markovian bosonic environment
- Adapted Caldeira-Leggett Model
- Quantum Uncertainties in the Schmidt Basis Given by Decoherence
- Selection of Squeezed States via Decoherence
- Estimation of the spatial decoherence time in circular quantum dots
- Quality of a Which-Way Detector
- The Copenhagen Interpretation as an Emergent Phenomenon